Evaluate the Integral by Using a Substitution Prior to Integration $$\int x \sqrt { 2 - x } d x$$

Multiple Choice

Evaluate the integral by using a substitution prior to integration by parts.
- $$\int x \sqrt { 2 - x } d x$$

A) $\frac { 2 } { 3 } x ( 2 - x ) ^ { 3 / 2 } + \frac { 4 } { 15 } ( 2 - x ) ^ { 5 / 2 } + C$
B) $- \frac { 2 } { 3 } x ( 2 - x ) ^ { 3 / 2 } - \frac { 4 } { 15 } ( 2 - x ) ^ { 5 / 2 } + C$
C) $- \frac { 2 } { 3 } x ( 2 - x ) ^ { 3 / 2 } - \frac { 2 } { 5 } ( 2 - x ) ^ { 5 / 2 } + C$
D) $- \frac { 2 } { 3 } x ( 2 - x ) ^ { 3 / 2 } + \frac { 4 } { 15 } ( 2 - x ) ^ { 5 / 2 } + C$